Use the q-Integral Operator that Implicitly Contain the q-Ruscheweyh Derivative in a New Class of Analytic Univalent Functions Described by Some of their Finite Negative Invariant Coefficients

Abstract

In this article, we study some of the basic geometric properties involved in finding an estimate or determining the value of the coefficients on the basis that the function is characterized by the starlike and convexity of the order , respectively. In addition to other properties, all this is done by defining a new class of analytic univalent functions by applying a quantum integral that implicitly contains a Ruscheweyh's quantum derivative to this special class, described by some of its non-variable coefficients.